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Finding the Fourth Proportional to 6,701.90, 9,248.93 and 3,717.56

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Solution

The fourth proportional to 6,701.90, 9,248.93 and 3,717.56 is: 5,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.90 : 9,248.93 = 3,717.56 : x
  2. Step 2: Convert to fraction form
    6,701.90/9,248.93 = 3,717.56/x
  3. Step 3: Cross multiply
    6,701.90x = 9,248.93 × 3,717.56
  4. Step 4: Simplify right side
    6,701.90x = 34,383,415.26
  5. Step 5: Solve for x
    x = 34,383,415.26/6,701.90
  6. Step 6: Final answer
    x = 5,130.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.